13968000144 has 120 divisors (see below), whose sum is σ = 44721780480. Its totient is φ = 3986717184.

The previous prime is 13968000121. The next prime is 13968000199. The reversal of 13968000144 is 44100086931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13968000099 and 13968000108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040644 + ... + 1053980.

It is an arithmetic number, because the mean of its divisors is an integer number (372681504).

Almost surely, 2^13968000144 is an apocalyptic number.

13968000144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13968000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360890240).

13968000144 is an abundant number, since it is smaller than the sum of its proper divisors (30753780336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13968000144 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13968000143) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (14397).

13968000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14397 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13968000144 in words is "thirteen billion, nine hundred sixty-eight million, one hundred forty-four", and thus it is an aban number.